Why is my lawyer pushing me to get my PI case settled asap?

As Mr. Post said, there may be a very good reason why. Make sure your attorney is dedicated to personal injury cases.

4 different law firms are working on my personal injury case is that a good thing ?

One lawyer is probably the point person.

Can I reopen the case I have extremely shoulder pain after car accident?

Absent fraud, for example, a case can not be re-opened once it has been settled or the statute of limitations has expired.

Would my case be worth a lawyers time?

Contact local and qualified counsel. Do not speak with the other insurance company. Report the incident to your insurance company.

Can I bring an injury suit against a party that caused a skydiving accident by failing to follow signs on commercial land?

Contact the highly qualified AZ lawyers who took the time to answer your post. Good luck.

Consult with local and qualified counsel. Your facts don't establish liability. Sorry.

Regarding Liability at a Fitness Gym. I fell an fractured L-5 vertebrae /collapsed in fused area of back. Suffering 3 months.

If this is a viable case there are no shortage of local and qualified attorneys who will help. Find the one you are most comfortable with and...

I was physically assaulted by another patron of an establishment, do I have a case against the establishment?

Based on these limited facts it does not appear so. However, local and qualified counsel can properly research these and analyze the case. ...

Car accident question

Let me guess, you don't have an attorney. Perhaps you should reconsider.

Can an insurance company determine i'm completely at fault without even taking my statement??

Yes, but its not binding. Never a good idea to speak with an adverse insurance company. You can do nothing, if you choose. They would have to...